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Finding the Fourth Proportional to 1,135.71, 1,701.28 and 580.40

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Solution

The fourth proportional to 1,135.71, 1,701.28 and 580.40 is: 869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.71 : 1,701.28 = 580.40 : x
  2. Step 2: Convert to fraction form
    1,135.71/1,701.28 = 580.40/x
  3. Step 3: Cross multiply
    1,135.71x = 1,701.28 × 580.40
  4. Step 4: Simplify right side
    1,135.71x = 987,412.95
  5. Step 5: Solve for x
    x = 987,412.95/1,135.71
  6. Step 6: Final answer
    x = 869.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.